Non-Equilibrium Thermal Entanglement Dynamics of Heisenberg Systems

TL;DR

This paper investigates how initial conditions, system parameters, and thermal environments influence the entanglement dynamics and long-term behavior of a two-qubit anisotropic XY Heisenberg system under magnetic fields and spin-orbit interaction.

Contribution

It provides a detailed analysis of entanglement evolution considering inhomogeneous magnetic fields, spin-orbit coupling, and thermal reservoirs with different temperatures, highlighting their combined effects.

Findings

Entanglement dynamics are significantly affected by temperature differences.

Spin-orbit interaction influences the asymptotic entanglement.

Initial conditions determine the transient entanglement behavior.

Abstract

The effects of initial conditions and system parameters on entanglement dynamics and asymptotic entanglement for a two-qubit anisotropic XY Heisenberg system in the presence of an inhomogeneous magnetic field and spin-orbit interaction are investigated. We suppose that each qubit interacts with a separate thermal reservoir which is held in its own temperature. The effects of the parameters of the system and environment like spin-orbit interaction and temperature difference of reservoirs are also discussed.